# GATE (Graduate Aptitude Test in Engineering) Electrical Engineering: Questions 78 - 82 of 148

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## Question 78

Appeared in Year: *2018*

### Question

MCQ▾The value of the directional derivative of the function at the point (2, -1,1) in the direction of the vector

### Choices

Choice (4) | Response | |
---|---|---|

a. | 0.9 | |

b. | 0.95 | |

c. | 1 | |

d. | 0.93 |

### Passage

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i) 1 connected at port B draws a current of 3 A

(ii) 2.5 connected at port B draws a current of 2 A

## Question 79 (1 of 2 Based on Passage)

Appeared in Year: *2012*

### Question

MCQ▾With 10 V dc connected at port A, the current drawn by connected at port B is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 80 (2 of 2 Based on Passage)

Appeared in Year: *2012*

### Question

MCQ▾For the same network, with 6 V dc connected at port A, connected at port B draws A. If 8 V dc is connected to port A, the open circuit voltage at port B is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 8 V | |

b. | 7 V | |

c. | 6 V | |

d. | 9 V |

## Question 81

Appeared in Year: *2018*

### Question

MCQ▾Consider the two continuous-time signals defined below:

These signals are sampled with a sampling period of T = 0.25 seconds to obtain discrete time signals and , respectively. Which one of the following statements is true?

### Choices

Choice (4) | Response | |
---|---|---|

a. | The energy of is greater than the energy of . | |

b. | The energy of is greater than the energy of . | |

c. | Neither nor is a finite-energy signal. | |

d. | and have equal energies. |

## Question 82

Appeared in Year: *2013*

### Question

MCQ▾A matrix has eigenvalues – 1 and – 2. The corresponding eigenvectors are and respectively. The matrix is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |